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Finding the Fourth Proportional to 319.38, 479.10 and 197.64

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Solution

The fourth proportional to 319.38, 479.10 and 197.64 is: 296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.38 : 479.10 = 197.64 : x
  2. Step 2: Convert to fraction form
    319.38/479.10 = 197.64/x
  3. Step 3: Cross multiply
    319.38x = 479.10 × 197.64
  4. Step 4: Simplify right side
    319.38x = 94,689.32
  5. Step 5: Solve for x
    x = 94,689.32/319.38
  6. Step 6: Final answer
    x = 296.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.